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Finding the Fourth Proportional to 3,901.46, 5,856.23 and 2,261.21

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Solution

The fourth proportional to 3,901.46, 5,856.23 and 2,261.21 is: 3,394.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.46 : 5,856.23 = 2,261.21 : x
  2. Step 2: Convert to fraction form
    3,901.46/5,856.23 = 2,261.21/x
  3. Step 3: Cross multiply
    3,901.46x = 5,856.23 × 2,261.21
  4. Step 4: Simplify right side
    3,901.46x = 13,242,142.21
  5. Step 5: Solve for x
    x = 13,242,142.21/3,901.46
  6. Step 6: Final answer
    x = 3,394.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.